# Statistical properties of the least squares estimator of maximum excreted drug amount

 Title Statistical properties of the least squares estimator of maximum excreted drug amount Publication Type Journal Article Year of Publication 1999 Authors Prodanova K Journal Annuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique Volume 88 Issue Livre 3 Pagination 347-360 Abstract Inaccuracy in estimation of the maximum excreted drug amount ($U^{\infty}$) is the main cause of errors in determination of some pharmacokinetic parameters of drugs. Usually, one estimates $U^{\infty}$ using observed values of the cummulative excretion ($U(t)$). This paper uses a new stochastic model to obtain the least squares estimator of $U^{\infty}$. The advantages of the model are that it is applicable for any drug, whose pharmacokinetics may be formalized with a linear $n$-compartment model ($n=1,2,3,...$) with or without phase of absorption and it may be used when the measurements for $U(t)$ are non-equidistant.
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